modmisc Module Reference

Data Types
interface	bublesort
interface	operator(.cross.)
interface	operator(.dot.)
interface	reorder
interface	swap

Functions/Subroutines
real(8) function, dimension(1:3)	vectorcross (p1, p2)
real(8) function	minkowskyproduct (p1, p2)
complex(8) function	minkowskyproductc (p1, p2)
complex(8) function	minkowskyproductrc (p1, p2)
complex(8) function	minkowskyproductcr (p1, p2)
integer function	logicaltointeger (var)
double complex function	et1 (e1, e2, e3, e4)
double complex function	sc (q1, q2)
double precision function	scr (p1, p2)
double complex function	scrc (p1, p2)
real(8) function	get_pt (Mom)
real(8) function	get_pt2 (Mom)
real(8) function	get_minv (Mom)
real(8) function	get_minv2 (Mom)
real(8) function	get_eta (Mom)
real(8) function	get_phi (Mom)
real(8) function	get_cosalpha (Mom1, Mom2)
real(8) function	get_costheta (Mom)
real(8) function	get_r (Mom1, Mom2)
subroutine	pt_order (N, Mom)
subroutine	bublesort_integerinteger (N, X, IY)
subroutine	bublesort_realinteger (N, X, IY)
subroutine	bublesort_stringlogical (N, X, IY)
subroutine	bublesort_stringinteger (N, X, IY)
subroutine	bublesort_stringreal8 (N, X, IY)
subroutine	bublesort_stringcomplex8 (N, X, IY)
subroutine	bublesort_stringstring (N, X, IY)
subroutine	reorder_integerinteger (N, iy, x)
subroutine	reorder_integerreal (N, iy, x)
subroutine	printmom (Mom)
subroutine	error (Message, ErrNum)
logical function	isnan (x)
subroutine	swapi (i, j)
subroutine	swapr (i, j)
subroutine	swapc (i, j)
subroutine	swap_mom (Mom1, Mom2)
subroutine	swap_cmom (Mom1, Mom2)
complex(8) function	leviciv (e1, e2, e3, e4)
complex(8) function, dimension(1:4)	pol_gluon_incoming (p, hel)
complex(8) function, dimension(4)	pol_zff_outgoing (pf, pfbar, hel)
complex(8) function, dimension(1:4)	ubar_spinor (p, hel)
complex(8) function, dimension(1:4)	v_spinor (p, hel)
double complex function, dimension(1:4)	chir_weyl (sign, sp)
complex(8) function, dimension(dv)	vbqq_weyl (sp1, sp2)
complex(8) function, dimension(4)	spb2_weyl (sp, v)
complex(8) function, dimension(4)	spi2_weyl (v, sp)
character(len=150) function	findinputfmt0 (EventInfoLine)
character(len=150) function	findinputfmt1 (ParticleLine)
character(len=150) function	capitalize (InputString)
subroutine	houseofrepresentatives (XSecArray, NumberOfSeats, TotalNumberOfSeats)
subroutine	houseofrepresentatives2 (XSecArray, NumberOfSeats, TotalNumberOfSeats)
subroutine	convert_to_mcfm (p, pout)
subroutine	evaluatespline (EvalPoint, SplineData, SplineDataLength, TheResult)
character(len=totallength) function	centerwithstars (string, totallength, align, padleft, padright)
subroutine	printlogo (TheUnit, title)
real function	infinity ()
logical function	calculatesxsec (Process)

Function/Subroutine Documentation

bublesort_integerinteger()

subroutine modmisc::bublesort_integerinteger	(	integer	N,
		integer(8), dimension(1:n)	X,
		integer, dimension(1:n)	IY
	)

Definition at line 309 of file mod_Misc.F90.

bublesort_realinteger()

subroutine modmisc::bublesort_realinteger	(	integer	N,
		real(8), dimension(1:n)	X,
		integer, dimension(1:n)	IY
	)

Definition at line 310 of file mod_Misc.F90.

bublesort_stringcomplex8()

subroutine modmisc::bublesort_stringcomplex8	(	integer	N,
		character(len=100), dimension(1:n)	X,
		complex(8), dimension(1:n)	IY
	)

Definition at line 314 of file mod_Misc.F90.

bublesort_stringinteger()

subroutine modmisc::bublesort_stringinteger	(	integer	N,
		character(len=100), dimension(1:n)	X,
		integer, dimension(1:n)	IY
	)

Definition at line 312 of file mod_Misc.F90.

bublesort_stringlogical()

subroutine modmisc::bublesort_stringlogical	(	integer	N,
		character(len=100), dimension(1:n)	X,
		logical, dimension(1:n)	IY
	)

Definition at line 311 of file mod_Misc.F90.

bublesort_stringreal8()

subroutine modmisc::bublesort_stringreal8	(	integer	N,
		character(len=100), dimension(1:n)	X,
		real(8), dimension(1:n)	IY
	)

Definition at line 313 of file mod_Misc.F90.

bublesort_stringstring()

subroutine modmisc::bublesort_stringstring	(	integer	N,
		character(len=100), dimension(1:n)	X,
		character(len=100), dimension(1:n)	IY
	)

Definition at line 315 of file mod_Misc.F90.

calculatesxsec()

logical function modmisc::calculatesxsec

(

integer

Process

)

Definition at line 1570 of file mod_Misc.F90.

  implicit none
  integer :: Process
  logical :: CalculatesXsec
  calculatesxsec=.false.
  if (process.le.2) then
    calculatesxsec=.true.
  elseif (process.eq.50) then
    calculatesxsec=.false.
  elseif (process.ge.51 .and. process.le.52) then
    calculatesxsec=.false.
  elseif (process.eq.60) then
    calculatesxsec=.true.
  elseif (process.eq.61) then
    calculatesxsec=.true.
  elseif (process.eq.62) then
    calculatesxsec=.false.
  elseif (process.ge.66 .and. process.le.75) then
    calculatesxsec=.true.
  elseif (process.eq.80 .or. process.eq.90) then
    calculatesxsec=.false.
  elseif (process.ge.110 .and. process.le.114) then
    calculatesxsec=.true.
  elseif (process.ge.115 .and. process.le.117) then
    calculatesxsec=.true.
  else
    print *, "Unknown process in CalculatesXsec", process, "; setting CalculatesXsec=false."
  endif

capitalize()

character(len=150) function modmisc::capitalize

(

character(len=150)

InputString

)

Definition at line 1144 of file mod_Misc.F90.

implicit none
character(len=150) :: InputString
character(len=150) :: Capitalize
character(len=26), parameter :: lower = "abcdefghijklmnopqrstuvwxyz"
character(len=26), parameter :: upper = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
integer :: i, j
 
capitalize = ""
 
do i=1,len(trim(inputstring))
    j = index(lower,inputstring(i:i))
    if (j.ne.0) then
        capitalize(i:i) = upper(j:j)
    else
        capitalize(i:i) = inputstring(i:i)
    endif
enddo
return

centerwithstars()

character(len=totallength) function modmisc::centerwithstars	(	character(len=*)	string,
		integer	totallength,
		integer, optional	align,
		integer, optional	padleft,
		integer, optional	padright
	)

Definition at line 1493 of file mod_Misc.F90.

implicit none
character(len=*) :: string
integer :: totallength, nspaces, nleftspaces, nrightspaces
integer, optional :: align, padleft, padright
integer :: align2, padleft2, padright2
character(len=totallength) CenterWithStars
 
    align2 = 2
    padleft2 = 0
    padright2 = 0
    if (present(align)) align2 = align
    if (present(padleft)) padleft2 = padleft
    if (present(padright)) padright2 = padright
 
    if (len(trim(string))+padleft2+padright2 .gt. totallength-2) then
        call error("len(trim(string))+padleft+padright > totallength-2!")
    endif
 
    nspaces = totallength - len(trim(string)) - 2
 
    if (align2.eq.1) then !left
      nleftspaces = padleft2
      nrightspaces = nspaces-nleftspaces
    elseif (align2.eq.2) then !center
      nleftspaces = (nspaces+padleft2-padright2)/2
      nrightspaces = nspaces-nleftspaces
    elseif (align2.eq.3) then !right
      nrightspaces = padright2
      nleftspaces = nspaces-nrightspaces
    else
      print *, "Unknown align value", align2
    endif
 
    centerwithstars = "*" // repeat(" ", nleftspaces) // trim(string) // repeat(" ", nrightspaces) // "*"
 

chir_weyl()

double complex function, dimension(1:4) modmisc::chir_weyl	(	integer	sign,
		double complex, dimension(1:4)	sp
	)

Definition at line 607 of file mod_Misc.F90.

implicit none
integer :: sign
double complex :: sp(1:4)
double complex :: Chir_Weyl(1:4)
   if(sign.eq.+1) then !omega_+
      chir_weyl(1) = sp(1)
      chir_weyl(2) = sp(2)
      chir_weyl(3) = 0d0
      chir_weyl(4) = 0d0
   else !omega_-
      chir_weyl(1) = 0d0
      chir_weyl(2) = 0d0
      chir_weyl(3) = sp(3)
      chir_weyl(4) = sp(4)
   endif
   return

convert_to_mcfm()

subroutine modmisc::convert_to_mcfm	(	real(8), dimension(1:4)	p,
		real(8), dimension(1:4), optional	pout
	)

Definition at line 1281 of file mod_Misc.F90.

      implicit none
! converts from (E,px,py,pz) to (px,py,pz,E)
      real(8) :: p(1:4),tmp(1:4)
      real(8), optional :: pout(1:4)
 
      if( present(pout) ) then
          pout(1)=p(2)
          pout(2)=p(3)
          pout(3)=p(4)
          pout(4)=p(1)
      else
          tmp(1)=p(1)
          tmp(2)=p(2)
          tmp(3)=p(3)
          tmp(4)=p(4)
 
          p(1)=tmp(2)
          p(2)=tmp(3)
          p(3)=tmp(4)
          p(4)=tmp(1)
      endif
 

error()

subroutine modmisc::error	(	character(*)	Message,
		integer, optional	ErrNum
	)

Definition at line 366 of file mod_Misc.F90.

implicit none
character(*) :: Message
integer,optional :: ErrNum
 
   if( present(errnum) ) then
      print *, "ERROR: ",message,errnum
   else
      print *, "ERROR: ",message
   endif
   stop 1

et1()

double complex function modmisc::et1	(	complex(8), dimension(4), intent(in)	e1,
		complex(8), dimension(4), intent(in)	e2,
		complex(8), dimension(4), intent(in)	e3,
		complex(8), dimension(4), intent(in)	e4
	)

Definition at line 109 of file mod_Misc.F90.

implicit none
complex(8), intent(in) :: e1(4), e2(4), e3(4), e4(4)
   et1 =  e1(1)*e2(2)*e3(3)*e4(4)-e1(1)*e2(2)*e3(4)*e4(3) &
   -e1(1)*e2(3)*e3(2)*e4(4)+e1(1)*e2(3)*e3(4)*e4(2) &
   +e1(1)*e2(4)*e3(2)*e4(3)-e1(1)*e2(4)*e3(3)*e4(2) &
   -e1(2)*e2(1)*e3(3)*e4(4)+e1(2)*e2(1)*e3(4)*e4(3) &
   +e1(2)*e2(3)*e3(1)*e4(4)-e1(2)*e2(3)*e3(4)*e4(1) &
   -e1(2)*e2(4)*e3(1)*e4(3)+e1(2)*e2(4)*e3(3)*e4(1) &
   +e1(3)*e2(1)*e3(2)*e4(4)-e1(3)*e2(1)*e3(4)*e4(2) &
   -e1(3)*e2(2)*e3(1)*e4(4)+e1(3)*e2(2)*e3(4)*e4(1) &
   +e1(3)*e2(4)*e3(1)*e4(2)-e1(3)*e2(4)*e3(2)*e4(1) &
   -e1(4)*e2(1)*e3(2)*e4(3)+e1(4)*e2(1)*e3(3)*e4(2) &
   +e1(4)*e2(2)*e3(1)*e4(3)-e1(4)*e2(2)*e3(3)*e4(1) &
   -e1(4)*e2(3)*e3(1)*e4(2)+e1(4)*e2(3)*e3(2)*e4(1)
   return

evaluatespline()

subroutine modmisc::evaluatespline	(	real(8)	EvalPoint,
		real(8), dimension(1:splinedatalength, 1:2)	SplineData,
		integer	SplineDataLength,
		real(8), intent(out)	TheResult
	)

Definition at line 1311 of file mod_Misc.F90.

!SplineData: SplineDataLength by 2 array
!    SplineData(1:SplineDataLength,1) are the x values
!    SplineData(1:SplineDataLength,2) are the corresponding y values
 
IMPLICIT NONE
 
INTEGER i,top,gdim,SplineDataLength
REAL(8) u,value,EvalPoint
REAL(8), intent(out) :: TheResult
REAL(8), dimension(SplineDataLength) :: bc,cc,dc
REAL(8) :: SplineData(1:SplineDataLength, 1:2)
 
! u value of M_H at which the spline is to be evaluated
 
gdim= splinedatalength
 
CALL hto_fmmsplinesingleht(bc,cc,dc,top,gdim,splinedata(1:splinedatalength,1),splinedata(1:splinedatalength,2))
 
u= evalpoint
CALL hto_seval3singleht(u,bc,cc,dc,top,gdim,value,xc=splinedata(1:splinedatalength,1),yc=splinedata(1:splinedatalength,2))
 
theresult= value
 
RETURN
 
!-----------------------------------------------------------------------
 
CONTAINS
 
SUBROUTINE hto_fmmsplinesingleht(b,c,d,top,gdim,xc,yc)
 
!---------------------------------------------------------------------------
 
INTEGER k,n,i,top,gdim,l
 
REAL(8), dimension(gdim) :: xc,yc
REAL(8), dimension(gdim) :: x,y
 
REAL(8), DIMENSION(gdim) :: b
! linear coeff
 
REAL(8), DIMENSION(gdim) :: c
! quadratic coeff.
 
REAL(8), DIMENSION(gdim) :: d
! cubic coeff.
 
REAL(8) :: t
REAL(8),PARAMETER:: ZERO=0.0, two=2.0, three=3.0
 
! The grid
 
 
n= gdim
FORALL(l=1:gdim)
x(l)= xc(l)
y(l)= yc(l)
ENDFORALL
 
!.....Set up tridiagonal system.........................................
!     b=diagonal, d=offdiagonal, c=right-hand side
 
d(1)= x(2)-x(1)
c(2)= (y(2)-y(1))/d(1)
DO k= 2,n-1
d(k)= x(k+1)-x(k)
b(k)= two*(d(k-1)+d(k))
c(k+1)= (y(k+1)-y(k))/d(k)
c(k)= c(k+1)-c(k)
END DO
 
!.....End conditions.  third derivatives at x(1) and x(n) obtained
!     from divided differences.......................................
 
b(1)= -d(1)
b(n)= -d(n-1)
c(1)= zero
c(n)= zero
IF (n > 3) THEN
c(1)= c(3)/(x(4)-x(2))-c(2)/(x(3)-x(1))
c(n)= c(n-1)/(x(n)-x(n-2))-c(n-2)/(x(n-1)-x(n-3))
c(1)= c(1)*d(1)*d(1)/(x(4)-x(1))
c(n)= -c(n)*d(n-1)*d(n-1)/(x(n)-x(n-3))
END IF
 
DO k=2,n    ! forward elimination
t= d(k-1)/b(k-1)
b(k)= b(k)-t*d(k-1)
c(k)= c(k)-t*c(k-1)
END DO
 
c(n)= c(n)/b(n)
 
! back substitution ( makes c the sigma of text)
 
DO k=n-1,1,-1
c(k)= (c(k)-d(k)*c(k+1))/b(k)
END DO
 
!.....Compute polynomial coefficients...................................
 
b(n)= (y(n)-y(n-1))/d(n-1)+d(n-1)*(c(n-1)+c(n)+c(n))
DO k=1,n-1
b(k)= (y(k+1)-y(k))/d(k)-d(k)*(c(k+1)+c(k)+c(k))
d(k)= (c(k+1)-c(k))/d(k)
c(k)= three*c(k)
END DO
c(n)= three*c(n)
d(n)= d(n-1)
 
RETURN
 
END SUBROUTINE hto_fmmsplinesingleht
 
!------------------------------------------------------------------------
 
SUBROUTINE hto_seval3singleht(u,b,c,d,top,gdim,f,fp,fpp,fppp,xc,yc)
 
! ---------------------------------------------------------------------------
 
REAL(8),INTENT(IN) :: u
! abscissa at which the spline is to be evaluated
 
INTEGER j,k,n,l,top,gdim
 
REAL(8), dimension(gdim) :: xc,yc
REAL(8), dimension(gdim) :: x,y
REAL(8), DIMENSION(gdim) :: b,c,d
! linear,quadratic,cubic coeff
 
REAL(8),INTENT(OUT),OPTIONAL:: f,fp,fpp,fppp
! function, 1st,2nd,3rd deriv
 
INTEGER, SAVE :: i=1
REAL(8)    :: dx
REAL(8),PARAMETER:: TWO=2.0, three=3.0, six=6.0
 
! The grid
 
n= gdim
FORALL(l=1:gdim)
x(l)= xc(l)
y(l)= yc(l)
ENDFORALL
 
!.....First check if u is in the same interval found on the
!     last call to Seval.............................................
 
IF (  (i<1) .OR. (i >= n) ) i=1
IF ( (u < x(i))  .OR.  (u >= x(i+1)) ) THEN
i=1
 
! binary search
 
j= n+1
DO
k= (i+j)/2
IF (u < x(k)) THEN
j= k
ELSE
i= k
ENDIF
IF (j <= i+1) EXIT
ENDDO
ENDIF
 
dx= u-x(i)
 
! evaluate the spline
 
IF (Present(f))    f= y(i)+dx*(b(i)+dx*(c(i)+dx*d(i)))
IF (Present(fp))   fp= b(i)+dx*(two*c(i) + dx*three*d(i))
IF (Present(fpp))  fpp= two*c(i) + dx*six*d(i)
IF (Present(fppp)) fppp= six*d(i)
 
RETURN
 
END SUBROUTINE hto_seval3singleht
 

findinputfmt0()

character(len=150) function modmisc::findinputfmt0

(

character(len=*)

EventInfoLine

)

Definition at line 769 of file mod_Misc.F90.

implicit none
character(len=*) :: EventInfoLine
character(len=150) FindInputFmt0
integer :: i, j, fieldwidth, spaces(1:6)
integer :: ProcessIdCharacters, WeightScaleAqedAqcdCharacters(1:4), WeightScaleAqedAqcdAfterDecimal(1:4)
character(len=40) :: FormatParts(1:6)
 
!find the number of spaces at the beginning
spaces(1) = 0
i = 1
do while (eventinfoline(i:i) .eq. " ")
    i = i+1
    spaces(1) = spaces(1)+1
end do
!now find the width of the number of particles, assume it's right aligned with a max of 2 digits
fieldwidth = 0
do while (eventinfoline(i:i) .ne. " ")
    i = i+1
    fieldwidth = fieldwidth+1
end do
spaces(1) = spaces(1) + fieldwidth - 2
 
!spaces and process id.
!"The process ID’s are not intended to be generic" [arXiv:0109068]
!I will assume that however many digits they are, they're right aligned
 
processidcharacters = -1  !so that it's 0 after the first space
spaces(2) = 1             !this is not increased, it's exactly 1
do while (eventinfoline(i:i) .eq. " ")
    i = i+1
    processidcharacters = processidcharacters+1
end do
do while (eventinfoline(i:i) .ne. " ")
    i = i+1
    processidcharacters = processidcharacters+1
end do
 
!the rest of the fields (scale, alpha_QED, alpha_QCD) are decimals
do j=1,4
    spaces(j+2) = 0
    do while (eventinfoline(i:i) .eq. " ")
        i = i+1
        spaces(j+2) = spaces(j+2)+1
    end do
    if (eventinfoline(i:i) .eq. "-") then
        i = i+1
        weightscaleaqedaqcdcharacters(j) = 1  !we are already past the -
    else if (spaces(j+2).eq.1) then
        weightscaleaqedaqcdcharacters(j) = 0
    else
        spaces(j+2) = spaces(j+2)-1           !because the place where the - sign is supposed to go is not always a space
        weightscaleaqedaqcdcharacters(j) = 1  !we are already past the -
    endif
    do while (eventinfoline(i:i) .ne. " ")
        i = i+1
        weightscaleaqedaqcdcharacters(j) = weightscaleaqedaqcdcharacters(j)+1
    end do
    weightscaleaqedaqcdafterdecimal(j) = weightscaleaqedaqcdcharacters(j)-7
end do
 
!now we construct the format string
if (spaces(1).eq.0) then
    formatparts(1) = "(I2,"
else
    write(formatparts(1), "(A,I1,A)") "(", spaces(1), "X,I2,"
endif
if (processidcharacters.lt.10) then
    write(formatparts(2), "(I1,A,I1,A)") spaces(2), "X,I", processidcharacters !the comma is at the beginning of the next part
else
    write(formatparts(2), "(I1,A,I2)") spaces(2), "X,I", processidcharacters !the comma is at the beginning of the next part
endif
do j=1,4
    if (weightscaleaqedaqcdcharacters(j).lt.10) then
        write(formatparts(j+2), "(A,I1,A,I1,A,I1)") ",", spaces(j+2), "X,1PE", weightscaleaqedaqcdcharacters(j), ".", weightscaleaqedaqcdafterdecimal(j)
    elseif (weightscaleaqedaqcdcharacters(j).lt.17) then
        write(formatparts(j+2), "(A,I1,A,I2,A,I1)") ",", spaces(j+2), "X,1PE", weightscaleaqedaqcdcharacters(j), ".", weightscaleaqedaqcdafterdecimal(j)
    else
        write(formatparts(j+2), "(A,I1,A,I2,A,I2)") ",", spaces(j+2), "X,1PE", weightscaleaqedaqcdcharacters(j), ".", weightscaleaqedaqcdafterdecimal(j)
    endif
end do
 
findinputfmt0 = (trim(formatparts(1))  &
              // trim(formatparts(2))  &
              // trim(formatparts(3))  &
              // trim(formatparts(4))  &
              // trim(formatparts(5))  &
              // trim(formatparts(6))  &
              // ")")
 
return

findinputfmt1()

character(len=150) function modmisc::findinputfmt1

(

character(len=*)

ParticleLine

)

Definition at line 864 of file mod_Misc.F90.

implicit none
character(len=*) :: ParticleLine
integer :: i, j, fieldwidth, spaces(1:13)
character(len=150) :: FindInputFmt1
integer :: MomentumCharacters(1:5), LifetimeCharacters, LifetimeDigitsAfterDecimal, SpinCharacters, SpinDigitsAfterDecimal
logical :: LifetimeIsExponential, SpinIsExponential
character(len=40) :: FormatParts(11)
!first find the number of spaces at the beginning
i = 1
spaces(1) = 0
do while (particleline(i:i) .eq. " ")
    i = i+1
    spaces(1) = spaces(1)+1
end do
!now find the width of the id; assume it's right aligned.
fieldwidth = 0
do while (particleline(i:i) .ne. " ")
    i = i+1
    fieldwidth = fieldwidth+1
end do
spaces(1) = spaces(1) + fieldwidth - 3
 
!number of spaces between the id and the status
spaces(2) = 0
do while (particleline(i:i) .eq. " ")
    i = i+1
    spaces(2) = spaces(2)+1
end do
!width of the status (should be -1, so width 2, but just in case)
fieldwidth = 0
do while (particleline(i:i) .ne. " ")
    i = i+1
    fieldwidth = fieldwidth+1
end do
spaces(2) = spaces(2) + fieldwidth - 2
 
!number of spaces between the status and the first mother
spaces(3) = 0
do while (particleline(i:i) .eq. " ")
    i = i+1
    spaces(3) = spaces(3)+1
end do
fieldwidth = 0
do while (particleline(i:i) .ne. " ")
    i = i+1
    fieldwidth = fieldwidth+1
end do
spaces(3) = spaces(3) + fieldwidth - 2
 
!number of spaces between the mothers
spaces(4) = 0
do while (particleline(i:i) .eq. " ")
    i = i+1
    spaces(4) = spaces(4)+1
end do
fieldwidth = 0
do while (particleline(i:i) .ne. " ")
    i = i+1
    fieldwidth = fieldwidth+1
end do
spaces(4) = spaces(4) + fieldwidth - 2
 
!number of spaces between the second mother and the color
spaces(5) = 0
do while (particleline(i:i) .eq. " ")
    i = i+1
    spaces(5) = spaces(5)+1
end do
fieldwidth = 0
do while (particleline(i:i) .ne. " ")
    i = i+1
    fieldwidth = fieldwidth+1
end do
spaces(5) = spaces(5) + fieldwidth - 3
 
!number of spaces between the color and the anticolor
spaces(6) = 0
do while (particleline(i:i) .eq. " ")
    i = i+1
    spaces(6) = spaces(6)+1
end do
fieldwidth = 0
do while (particleline(i:i) .ne. " ")
    i = i+1
    fieldwidth = fieldwidth+1
end do
spaces(6) = spaces(6) + fieldwidth - 3
 
!From now on the alignment is simpler, every row will have the same width
!   except for possibly a - sign at the beginning
!Unfortunately now there's number formatting to worry about
do j=7,11   !px, py, pz, E, m
    !spaces before the momentum component
    spaces(j) = 0
    do while (particleline(i:i) .eq. " ")
        i = i+1
        spaces(j) = spaces(j)+1
    end do
    if (particleline(i:i) .eq. "-") then
        i = i+1
    else
        spaces(j) = spaces(j)-1  !because the place where the - sign is supposed to go is not always a space
    endif
    !i is now on the first actual digit (not -) of the component
 
    !number of characters used for the component
    momentumcharacters(j-6) = 1           !we are already past the -
    do while (particleline(i:i) .ne. " ")
        i = i+1
        momentumcharacters(j-6) = momentumcharacters(j-6)+1
    end do
enddo
 
!number of spaces between m and lifetime
!lifetime is nonnegative, so no - sign
!but some generators (JHUGen) write 0.00000000000E+00
!while some (old JHUGen, some versions of MadGraph) write 0.
spaces(12) = 0
do while (particleline(i:i) .eq. " ")
    i = i+1
    spaces(12) = spaces(12)+1
end do
 
!lifetime formatting
lifetimecharacters = 0
lifetimedigitsafterdecimal = -1
lifetimeisexponential = .false.
do while (particleline(i:i) .ne. " ")
    if ((lifetimedigitsafterdecimal .ge. 0 .and. .not.lifetimeisexponential) &
            .or. particleline(i:i) .eq. ".") then
        lifetimedigitsafterdecimal = lifetimedigitsafterdecimal+1
    endif
    if (particleline(i:i) .eq. "E" .or. particleline(i:i) .eq. "e") then
        lifetimeisexponential = .true.
    endif
    i = i+1
    lifetimecharacters = lifetimecharacters+1
enddo
 
!number of spaces between lifetime and spin
!spin has all the complications of lifetime, plus it might be negative
spaces(13) = 0
do while (particleline(i:i) .eq. " ")
    i = i+1
    spaces(13) = spaces(13)+1
end do
if (particleline(i:i) .eq. "-") then
    i = i+1
else
    spaces(13) = spaces(13)-1  !because the place where the - sign is supposed to go is not always a space
endif
!i is now on the first digit of the spin
 
!spin formatting
spincharacters = 1             !we are already past the -
spindigitsafterdecimal = -1
spinisexponential = .false.
do while (particleline(i:i) .ne. " ")
    if (spindigitsafterdecimal .ge. 0 .or. particleline(i:i) .eq. ".") then
        spindigitsafterdecimal = spindigitsafterdecimal+1
    endif
    if (particleline(i:i) .eq. "E" .or. particleline(i:i) .eq. "e") then
        spinisexponential = .true.
    endif
    i = i+1
    spincharacters = spincharacters+1
enddo
 
!check that spaces(i) > 0
!(besides for spaces(1), before the id, which can be 0)
!the only way this can happen, consistent with the definition of lhe format,
! is for a column not to leave extra space for a -
do i=2,13
    if (spaces(i).eq.0) then
        spaces(i) = 1
        if (i.ge.7 .and. i.le.11) then   !we counted the nonexistant space for - in MomentumCharacters(i-6)
            momentumcharacters(i-6) = momentumcharacters(i-6)-1
        endif
        if (i.eq.13) then  !same
            spincharacters = spincharacters-1
        endif
    endif
enddo
 
!Ok, now we construct the format string
!Initial spaces and id
if (spaces(1).eq.0) then
    formatparts(1) = "(I3,"
else
    write(formatparts(1),"(A,I1,A)") "(", spaces(1), "X,I3,"
endif
!spaces and status
write(formatparts(2),"(I1,A)") spaces(2), "X,I2,"
!spaces and mothers
write(formatparts(3),"(I1,A,I1,A)") spaces(3), "X,I2,", spaces(4), "X,I2,"
!spaces and colors
write(formatparts(4),"(I1,A,I1,A)") spaces(5), "X,I3,", spaces(6), "X,I3,"
 
do i=5,9
    !spaces and momentum components (and mass)
    if (momentumcharacters(i-4) .lt. 10) then
        write(formatparts(i),"(I1,A,I1,A,I1,A)") spaces(i+2), "X,1PE", momentumcharacters(i-4), ".", momentumcharacters(i-4)-7, ","
    elseif (momentumcharacters(i-4) .lt. 17) then
        write(formatparts(i),"(I1,A,I2,A,I1,A)") spaces(i+2), "X,1PE", momentumcharacters(i-4), ".", momentumcharacters(i-4)-7, ","
    else
        write(formatparts(i),"(I1,A,I2,A,I2,A)") spaces(i+2), "X,1PE", momentumcharacters(i-4), ".", momentumcharacters(i-4)-7, ","
    endif
enddo
 
!spaces and lifetime
if (lifetimeisexponential) then
    if (lifetimecharacters .lt. 10) then
        write(formatparts(10),"(I1,A,I1,A,I1,A)") &
            spaces(12), "X,1PE",lifetimecharacters,".",lifetimedigitsafterdecimal,","
    elseif (lifetimedigitsafterdecimal.lt.10) then
        write(formatparts(10),"(I1,A,I2,A,I1,A)") &
            spaces(12), "X,1PE",lifetimecharacters,".",lifetimedigitsafterdecimal,","
    else
        write(formatparts(10),"(I1,A,I2,A,I2,A)") &
            spaces(12), "X,1PE",lifetimecharacters,".",lifetimedigitsafterdecimal,","
    endif
else
    if (lifetimecharacters .lt. 10) then
        write(formatparts(10),"(I1,A,I1,A,I1,A)") &
            spaces(12), "X,1F",lifetimecharacters,".",lifetimedigitsafterdecimal,","
    elseif (lifetimedigitsafterdecimal.lt.10) then
        write(formatparts(10),"(I1,A,I2,A,I1,A)") &
            spaces(12), "X,1F",lifetimecharacters,".",lifetimedigitsafterdecimal,","
    else
        write(formatparts(10),"(I1,A,I2,A,I2,A)") &
            spaces(12), "X,1F",lifetimecharacters,".",lifetimedigitsafterdecimal,","
    endif
endif
 
!spaces and spin
if (spinisexponential) then
    if (spincharacters .lt. 10) then
        write(formatparts(11),"(I1,A,I1,A,I1,A)") &
            spaces(13), "X,1PE",spincharacters,".",spindigitsafterdecimal,")"
    elseif (spindigitsafterdecimal.lt.10) then
        write(formatparts(11),"(I1,A,I2,A,I1,A)") &
            spaces(13), "X,1PE",spincharacters,".",spindigitsafterdecimal,")"
    else
        write(formatparts(11),"(I1,A,I2,A,I2,A)") &
            spaces(13), "X,1PE",spincharacters,".",spindigitsafterdecimal,")"
    endif
else
    if (spincharacters .lt. 10) then
        write(formatparts(11),"(I1,A,I1,A,I1,A)") &
            spaces(13), "X,1F",spincharacters,".",spindigitsafterdecimal,")"
    elseif (spindigitsafterdecimal.lt.10) then
        write(formatparts(11),"(I1,A,I2,A,I1,A)") &
            spaces(13), "X,1F",spincharacters,".",spindigitsafterdecimal,")"
    else
        write(formatparts(11),"(I1,A,I2,A,I2,A)") &
            spaces(13), "X,1F",spincharacters,".",spindigitsafterdecimal,")"
    endif
endif
 
!do i=1,11
!    print *, FormatParts(i)
!enddo
 
findinputfmt1 = (trim(formatparts(1))  &
              // trim(formatparts(2))  &
              // trim(formatparts(3))  &
              // trim(formatparts(4))  &
              // trim(formatparts(5))  &
              // trim(formatparts(6))  &
              // trim(formatparts(7))  &
              // trim(formatparts(8))  &
              // trim(formatparts(9))  &
              // trim(formatparts(10)) &
              // trim(formatparts(11)))
return

get_cosalpha()

real(8) function modmisc::get_cosalpha	(	real(8), dimension(1:4)	Mom1,
		real(8), dimension(1:4)	Mom2
	)

Definition at line 212 of file mod_Misc.F90.

implicit none
real(8) ::Mom1(1:4),Mom2(1:4),Get_CosAlpha
 
    get_cosalpha = (mom1(2)*mom2(2)+mom1(3)*mom2(3)+mom1(4)*mom2(4))/dsqrt(mom1(2)**2+mom1(3)**2+mom1(4)**2)/dsqrt(mom2(2)**2+mom2(3)**2+mom2(4)**2)
 
RETURN

get_costheta()

real(8) function modmisc::get_costheta

(

real(8), dimension(1:4)

Mom

)

Definition at line 222 of file mod_Misc.F90.

implicit none
real(8) ::Mom(1:4), Get_CosTheta
 
    get_costheta = mom(4)/dsqrt( mom(2)**2+mom(3)**2+mom(4)**2 +1d-16)
 
RETURN

get_eta()

real(8) function modmisc::get_eta

(

real(8), dimension(1:4)

Mom

)

Definition at line 190 of file mod_Misc.F90.

implicit none
real(8) ::Mom(1:4),Get_ETA
 
   get_eta = 0.5d0*dlog( dabs((mom(1)+mom(4)+1d-16)/(mom(1)-mom(4) +1d-16) ))
 
RETURN

get_minv()

real(8) function modmisc::get_minv

(

real(8), dimension(1:4)

Mom

)

Definition at line 172 of file mod_Misc.F90.

implicit none
real(8) ::Mom(1:4),Get_MInv
 
   get_minv = dsqrt( dabs(mom(1:4).dot.mom(1:4)) )
 
RETURN

get_minv2()

real(8) function modmisc::get_minv2

(

real(8), dimension(1:4)

Mom

)

Definition at line 181 of file mod_Misc.F90.

implicit none
real(8) ::Mom(1:4),Get_MInv2
 
   get_minv2 = mom(1:4).dot.mom(1:4)
 
RETURN

get_phi()

real(8) function modmisc::get_phi

(

real(8), dimension(1:4)

Mom

)

Definition at line 200 of file mod_Misc.F90.

implicit none
real(8) ::Mom(1:4),Get_PHI
 
   get_phi = datan2( mom(3),mom(2) )
 
RETURN

get_pt()

real(8) function modmisc::get_pt

(

real(8), dimension(1:4)

Mom

)

Definition at line 152 of file mod_Misc.F90.

implicit none
real(8) ::Mom(1:4),Get_PT
 
   get_pt = dsqrt( mom(2)**2 + mom(3)**2 )
 
RETURN

get_pt2()

real(8) function modmisc::get_pt2

(

real(8), dimension(1:4)

Mom

)

Definition at line 162 of file mod_Misc.F90.

implicit none
real(8) ::Mom(1:4),Get_PT2
 
   get_pt2 = mom(2)**2 + mom(3)**2
 
RETURN

get_r()

real(8) function modmisc::get_r	(	real(8), dimension(1:4)	Mom1,
		real(8), dimension(1:4)	Mom2
	)

Definition at line 233 of file mod_Misc.F90.

implicit none
real(8),parameter :: Pi=3.141592653589793d0
real(8) :: Mom1(1:4),Mom2(1:4),Get_R
real(8) :: eta1,eta2,phi1,phi2,DeltaPhi,r2,delphi
 
   eta1 = get_eta(mom1(1:4))
   eta2 = get_eta(mom2(1:4))
   phi1 = get_phi(mom1(1:4))
   phi2 = get_phi(mom2(1:4))
   deltaphi = dabs(phi1-phi2)
   if( deltaphi.gt.pi ) deltaphi=2d0*pi-deltaphi
   get_r = dsqrt((eta1-eta2)**2 + deltaphi**2)
 
RETURN

houseofrepresentatives()

subroutine modmisc::houseofrepresentatives	(	real(8), dimension(-5:5,-5:5), intent(in)	XSecArray,
		integer(8), dimension(-5:5,-5:5), intent(out)	NumberOfSeats,
		integer, intent(in)	TotalNumberOfSeats
	)

Definition at line 1167 of file mod_Misc.F90.

!Want to generate TotalNumberOfSeats events among the partonic channels, proportional to the xsec.
!But can't generate half an event, so need to round in some way.
!Apparently this is a major political issue.  https://en.wikipedia.org/wiki/Apportionment_paradox
!The first US presidential veto was when George Washington vetoed a change in rounding scheme
! because Virginia would have lost seats in the House.
!Also, if the US had used a different system, Rutherford B. Hayes wouldn't have been president.
 
!For our case, it's much easier because we can and should distribute randomly, not deterministically
! so that if you run 1000 times with 50 events each the fluctuations average out.
!Also states with small xsec like Wyoming don't get a seat.
implicit none
real(8) :: totalxsec, CrossSecNormalized(-5:5,-5:5), yRnd
integer :: n, i, j
integer, intent(in) :: TotalNumberOfSeats
real(8), intent(in) :: XSecArray(-5:5,-5:5)
integer(8), intent(out) :: NumberOfSeats(-5:5,-5:5)
  totalxsec = 0
  numberofseats(:,:) = 0
  if (totalnumberofseats.lt.1) return
 
  do i=-5,5
    do j=-5,5
      totalxsec = totalxsec+abs(xsecarray(i,j))
    enddo
  enddo
  if (totalxsec.eq.0d0) then
    print *,"HouseOfRepresentatives: Total xsec is 0. Aborting..."
    stop 1
  endif
  do i=-5,5
    do j=-5,5
      crosssecnormalized(i,j) = abs(xsecarray(i,j)) / totalxsec
    enddo
  enddo
 
  do n=1,totalnumberofseats
    do while(.true.)
      call random_number(yrnd)
      do i=-5,5
        do j=-5,5
          if (yrnd .lt. crosssecnormalized(i,j)) then
            numberofseats(i,j) = numberofseats(i,j)+1
            goto 99
          endif
          yrnd = yrnd - crosssecnormalized(i,j)
        enddo
      enddo
      !in case a rounding error causes sum(CrossSecNormalized) != 1
      print *, "HouseOfRepresentatives: Warning, rounding error, try again"
    enddo
99  continue
  enddo
 
  if (sum(numberofseats(:,:)).ne.totalnumberofseats) then
    print *, "HouseOfRepresentatives: Wrong total number of events, shouldn't be able to happen"
    stop 1
  endif

houseofrepresentatives2()

subroutine modmisc::houseofrepresentatives2	(	real(8), dimension(:), intent(in)	XSecArray,
		integer(8), dimension(:), intent(out)	NumberOfSeats,
		integer, intent(in)	TotalNumberOfSeats
	)

Definition at line 1230 of file mod_Misc.F90.

!same as above with one-dim. arrays
implicit none
real(8), intent(in) :: XSecArray(:)
real(8) :: totalxsec, CrossSecNormalized(size(XSecArray)), yRnd
integer :: n,i,nchannels
integer, intent(in) :: TotalNumberOfSeats
integer(8), intent(out) :: NumberOfSeats(:)
  totalxsec = 0
  numberofseats(:) = 0
  if (totalnumberofseats.lt.1) return
 
  nchannels = size(xsecarray)
 
  do i=1,nchannels
    totalxsec = totalxsec+abs(xsecarray(i))
  enddo
  if (totalxsec.eq.0d0) then
    print *,"HouseOfRepresentatives2: Total xsec is 0. Aborting..."
    stop 1
  endif
  do i=1,nchannels
    crosssecnormalized(i) = abs(xsecarray(i)) / totalxsec
  enddo
 
  do n=1,totalnumberofseats
    do while(.true.)
      call random_number(yrnd)
      do i=1,nchannels
          if (yrnd .lt. crosssecnormalized(i)) then
            numberofseats(i) = numberofseats(i)+1
            goto 99
          endif
          yrnd = yrnd - crosssecnormalized(i)
      enddo
      print *, "HouseOfRepresentatives2: Warning, rounding error, try again"
    enddo
99  continue
  enddo
 
  if (sum(numberofseats(:)).ne.totalnumberofseats) then
    print *, "HouseOfRepresentatives2: Wrong total number of events, shouldn't be able to happen"
    stop 1
  endif

infinity()

real function modmisc::infinity

Definition at line 1563 of file mod_Misc.F90.

  implicit none
  real :: x
  x = 0
  infinity=-log(x)

isnan()

logical function modmisc::isnan

(

real(8)

x

)

Definition at line 380 of file mod_Misc.F90.

implicit none
logical IsNan
real(8) :: x
 
   isnan = .not.(x.eq.x)
 
RETURN

leviciv()

complex(8) function modmisc::leviciv	(	complex(8), dimension(4), intent(in)	e1,
		complex(8), dimension(4), intent(in)	e2,
		complex(8), dimension(4), intent(in)	e3,
		complex(8), dimension(4), intent(in)	e4
	)

Definition at line 448 of file mod_Misc.F90.

implicit none
complex(8), intent(in)  :: e1(4), e2(4), e3(4), e4(4)
complex(8)  ::LeviCiv
 
leviciv =  e1(1)*e2(2)*e3(3)*e4(4)-e1(1)*e2(2)*e3(4)*e4(3) &
          -e1(1)*e2(3)*e3(2)*e4(4)+e1(1)*e2(3)*e3(4)*e4(2) &
          +e1(1)*e2(4)*e3(2)*e4(3)-e1(1)*e2(4)*e3(3)*e4(2) &
          -e1(2)*e2(1)*e3(3)*e4(4)+e1(2)*e2(1)*e3(4)*e4(3) &
          +e1(2)*e2(3)*e3(1)*e4(4)-e1(2)*e2(3)*e3(4)*e4(1) &
          -e1(2)*e2(4)*e3(1)*e4(3)+e1(2)*e2(4)*e3(3)*e4(1) &
          +e1(3)*e2(1)*e3(2)*e4(4)-e1(3)*e2(1)*e3(4)*e4(2) &
          -e1(3)*e2(2)*e3(1)*e4(4)+e1(3)*e2(2)*e3(4)*e4(1) &
          +e1(3)*e2(4)*e3(1)*e4(2)-e1(3)*e2(4)*e3(2)*e4(1) &
          -e1(4)*e2(1)*e3(2)*e4(3)+e1(4)*e2(1)*e3(3)*e4(2) &
          +e1(4)*e2(2)*e3(1)*e4(3)-e1(4)*e2(2)*e3(3)*e4(1) &
          -e1(4)*e2(3)*e3(1)*e4(2)+e1(4)*e2(3)*e3(2)*e4(1)
 

logicaltointeger()

integer function modmisc::logicaltointeger

(

logical

var

)

Definition at line 97 of file mod_Misc.F90.

implicit none
logical :: var
integer :: LogicalToInteger
   if (var) then
      logicaltointeger = 1
   else
      logicaltointeger = 0
   endif

minkowskyproduct()

real(8) function modmisc::minkowskyproduct	(	real(8), dimension(1:4), intent(in)	p1,
		real(8), dimension(1:4), intent(in)	p2
	)

Definition at line 50 of file mod_Misc.F90.

implicit none
real(8), intent(in) :: p1(1:4),p2(1:4)
real(8)             :: MinkowskyProduct
 
   minkowskyproduct = p1(1)*p2(1)  &
                    - p1(2)*p2(2)  &
                    - p1(3)*p2(3)  &
                    -p1(4)*p2(4)

minkowskyproductc()

complex(8) function modmisc::minkowskyproductc	(	complex(8), dimension(1:4), intent(in)	p1,
		complex(8), dimension(1:4), intent(in)	p2
	)

Definition at line 61 of file mod_Misc.F90.

implicit none
complex(8), intent(in) :: p1(1:4),p2(1:4)
complex(8)             :: MinkowskyProductC
 
   minkowskyproductc = p1(1)*p2(1)  &
                     - p1(2)*p2(2)  &
                     - p1(3)*p2(3)  &
                     - p1(4)*p2(4)

minkowskyproductcr()

complex(8) function modmisc::minkowskyproductcr	(	complex(8), dimension(1:4), intent(in)	p1,
		real(8), dimension(1:4), intent(in)	p2
	)

Definition at line 84 of file mod_Misc.F90.

implicit none
real(8),    intent(in) :: p2(1:4)
complex(8), intent(in) :: p1(1:4)
complex(8)             :: MinkowskyProductCR
 
   minkowskyproductcr = p1(1)*p2(1)  &
                      - p1(2)*p2(2)  &
                      - p1(3)*p2(3)  &
                      - p1(4)*p2(4)

minkowskyproductrc()

complex(8) function modmisc::minkowskyproductrc	(	real(8), dimension(1:4), intent(in)	p1,
		complex(8), dimension(1:4), intent(in)	p2
	)

Definition at line 72 of file mod_Misc.F90.

implicit none
real(8),    intent(in) :: p1(1:4)
complex(8), intent(in) :: p2(1:4)
complex(8)             :: MinkowskyProductRC
 
   minkowskyproductrc = p1(1)*p2(1)  &
                      - p1(2)*p2(2)  &
                      - p1(3)*p2(3)  &
                      - p1(4)*p2(4)

pol_gluon_incoming()

complex(8) function, dimension(1:4) modmisc::pol_gluon_incoming	(	real(8), dimension(1:4)	p,
		integer	hel
	)

Definition at line 469 of file mod_Misc.F90.

implicit none
complex(8) :: pol_gluon_incoming(1:4)
real(8) :: p(1:4)
integer :: hel
real(8) :: pv,ct,st,cphi,sphi
 
 
    pv=dsqrt(dabs(p(1)**2))
    ct=p(4)/pv
    st=dsqrt(abs(1.0d0-ct**2))
 
    if( st.le.1d-9 ) then
       cphi=1.0d0
       sphi=0.0d0
    else
       cphi= p(2)/pv/st
       sphi= p(3)/pv/st
    endif
    ! -- distinguish between positive and negative energies
!     if ( p(1) .gt. 0.0_dp) then
!        hel=hel
!     else
!        hel=-hel
!     endif
 
!     if (present(outgoing)) then
!        if (outgoing) pol = -pol
!     endif
 
    pol_gluon_incoming(1) = 0d0
    pol_gluon_incoming(2) = ct*cphi - (0d0,1d0)*hel*sphi
    pol_gluon_incoming(3) = ct*sphi + (0d0,1d0)*hel*cphi
    pol_gluon_incoming(4) = -st
 
    pol_gluon_incoming(2:4) = pol_gluon_incoming(2:4)/dsqrt(2.0d0)

pol_zff_outgoing()

complex(8) function, dimension(4) modmisc::pol_zff_outgoing	(	real(8), dimension(1:4)	pf,
		real(8), dimension(1:4)	pfbar,
		integer	hel
	)

Definition at line 507 of file mod_Misc.F90.

implicit none
complex(8) :: pol_Zff_outgoing(4)
integer :: hel
real(8):: pf(1:4),pfbar(1:4)
complex(8) :: Ub(1:4),V(1:4)
    ub(1:4) = ubar_spinor(pf,hel)
    v(1:4)  = v_spinor(pfbar,-hel)
 
    !   This is an expression for (-i)* (-i) Ub(+/-)) Gamma^\mu V(-/+)
    pol_zff_outgoing(1)=-(ub(2)*v(4)+v(2)*ub(4)+ub(1)*v(3)+v(1)*ub(3))
    pol_zff_outgoing(2)=-(-ub(1)*v(4)+v(1)*ub(4)-ub(2)*v(3)+v(2)*ub(3))
    pol_zff_outgoing(3)=-(0d0,1d0)*(ub(1)*v(4)+v(1)*ub(4)-ub(2)*v(3)-v(2)*ub(3))
    pol_zff_outgoing(4)=-(ub(2)*v(4)-v(2)*ub(4)-ub(1)*v(3)+v(1)*ub(3))
RETURN

printlogo()

subroutine modmisc::printlogo	(	integer	TheUnit,
		character(len=*)	title
	)

Definition at line 1531 of file mod_Misc.F90.

use modparameters
implicit none
integer :: TheUnit
integer, parameter :: linelength = 89
character(len=*) :: title
 
    write(theunit, *) " "
    write(theunit, *) " ", repeat("*", linelength)
    write(theunit, *) " ", centerwithstars(trim(title)//" "//trim(jhugen_version), linelength)
    write(theunit, *) " ", repeat("*", linelength)
    write(theunit, *) " ", centerwithstars("", linelength)
    write(theunit, *) " ", centerwithstars("Spin and parity determination of single-produced resonances at hadron colliders", linelength)
    write(theunit, *) " ", centerwithstars("", linelength)
    write(theunit, *) " ", centerwithstars("I. Anderson, S. Bolognesi, F. Caola, J. Davis, Y. Gao, A. V. Gritsan,", linelength)
    write(theunit, *) " ", centerwithstars("L. S. Mandacaru Guerra, Z. Guo, L. Kang, S. Kyriacou, C. B. Martin, T. Martini,", linelength)
    write(theunit, *) " ", centerwithstars("K. Melnikov, R. Pan, M. Panagiotou, R. Rontsch, J. Roskes, U. Sarica,", linelength)
    write(theunit, *) " ", centerwithstars("M. Schulze, M. V. Srivastav, N. V. Tran, A. Whitbeck, M. Xiao, Y. Zhou", linelength)
    write(theunit, *) " ", centerwithstars("Phys.Rev. D81 (2010) 075022;  arXiv:1001.3396  [hep-ph],", linelength)
    write(theunit, *) " ", centerwithstars("Phys.Rev. D86 (2012) 095031;  arXiv:1208.4018  [hep-ph],", linelength)
    write(theunit, *) " ", centerwithstars("Phys.Rev. D89 (2014) 035007;  arXiv:1309.4819  [hep-ph],", linelength)
    write(theunit, *) " ", centerwithstars("Phys.Rev. D94 (2016) 055023;  arXiv:1606.03107 [hep-ph],", linelength)
    write(theunit, *) " ", centerwithstars("Phys.Rev. D102 (2020) 056022; arXiv:2002.09888 [hep-ph],", linelength)
    write(theunit, *) " ", centerwithstars("Phys.Rev. D102 (2021) 055045; arXiv:2104.04277 [hep-ph].", linelength)
    write(theunit, *) " ", centerwithstars("Phys.Rev. D105 (2022) 096027; arXiv:2109.13363 [hep-ph].", linelength)
    write(theunit, *) " ", centerwithstars("", linelength)
    write(theunit, *) " ", repeat("*", linelength)
    write(theunit, *) " "
return

printmom()

subroutine modmisc::printmom

(

real(8), dimension(:,:)

Mom

)

Definition at line 351 of file mod_Misc.F90.

implicit none
real(8) :: Mom(:,:)
integer :: n
 
    do n=1,size(mom,2)
      write (*,"(A,I2,A,1F20.16,A,1F20.16,A,1F20.16,A,1F20.16,A)") "Mom(1:4,",n,")= (/",mom(1,n),"d0,",mom(2,n),"d0,",mom(3,n),"d0,",mom(4,n),"d0   /)"
    enddo
 
RETURN

pt_order()

subroutine modmisc::pt_order	(	integer	N,
		real(8), dimension(1:4,1:n)	Mom
	)

Definition at line 253 of file mod_Misc.F90.

implicit none
integer :: N
real(8) :: Mom(1:4,1:N),Mom_Tmp(1:4,1:N),pTList(1:N)
integer :: i,MomOrder(1:N)
 
 
    if(n.lt.1) return
    do i=1,n
      ptlist(i) = get_pt(mom(1:4,i))
      momorder(i) = i
    enddo
 
    call bublesort(n,ptlist(1:n),momorder(1:n))
 
    mom_tmp(1:4,1:n) = mom(1:4,1:n)
    do i=1,n
        mom(1:4,i) = mom_tmp(1:4,momorder(i))
    enddo
 

reorder_integerinteger()

subroutine modmisc::reorder_integerinteger	(	integer	N,
		integer, dimension(1:n)	iy,
		integer, dimension(1:n)	x
	)

Definition at line 346 of file mod_Misc.F90.

reorder_integerreal()

subroutine modmisc::reorder_integerreal	(	integer	N,
		integer, dimension(1:n)	iy,
		real(8), dimension(1:n)	x
	)

Definition at line 347 of file mod_Misc.F90.

sc()

double complex function modmisc::sc	(	complex(8), dimension(4), intent(in)	q1,
		complex(8), dimension(4), intent(in)	q2
	)

Definition at line 127 of file mod_Misc.F90.

implicit none
complex(8), intent(in) :: q1(4)
complex(8), intent(in) :: q2(4)
   sc = q1.dot.q2
   return

scr()

double precision function modmisc::scr	(	real(8), dimension(4), intent(in)	p1,
		real(8), dimension(4), intent(in)	p2
	)

Definition at line 135 of file mod_Misc.F90.

implicit none
real(8), intent(in) :: p1(4),p2(4)
   scr = p1.dot.p2
   return

scrc()

double complex function modmisc::scrc	(	real(8), dimension(4), intent(in)	p1,
		complex(8), dimension(4), intent(in)	p2
	)

Definition at line 142 of file mod_Misc.F90.

implicit none
real(8), intent(in) :: p1(4)
complex(8), intent(in) :: p2(4)
   scrc = p1.dot.p2
   return

spb2_weyl()

complex(8) function, dimension(4) modmisc::spb2_weyl	(	complex(8), dimension(:), intent(in)	sp,
		complex(8), dimension(:), intent(in)	v
	)

Definition at line 657 of file mod_Misc.F90.

implicit none
complex(8), intent(in) :: sp(:),v(:)
complex(8) :: spb2_Weyl(4)
complex(8) :: x0(4,4),xx(4,4),xy(4,4)
complex(8) :: xz(4,4),x5(4,4)
complex(8) :: y1,y2,y3,y4,bp,bm,cp,cm
integer :: i,i1,i2,i3,Dv,Ds,imax
 
   ds = 4
   dv = 4
   imax = ds/4
 
   do i=1,imax
      i1= 1+4*(i-1)
      i2=i1+3
 
      y1=sp(i1)
      y2=sp(i1+1)
      y3=sp(i1+2)
      y4=sp(i1+3)
 
      x0(1,i)=y3
      x0(2,i)=y4
      x0(3,i)=y1
      x0(4,i)=y2
 
      xx(1,i) = y4
      xx(2,i) = y3
      xx(3,i) = -y2
      xx(4,i) = -y1
 
      xy(1,i)=(0d0,1d0)*y4
      xy(2,i)=-(0d0,1d0)*y3
      xy(3,i)=-(0d0,1d0)*y2
      xy(4,i)=(0d0,1d0)*y1
 
      xz(1,i)=y3
      xz(2,i)=-y4
      xz(3,i)=-y1
      xz(4,i)=y2
 
      x5(1,i)=y1
      x5(2,i)=y2
      x5(3,i)=-y3
      x5(4,i)=-y4
   enddo
 
 
   do i=1,4
      spb2_weyl(i)=v(1)*x0(i,1)-v(2)*xx(i,1)-v(3)*xy(i,1)-v(4)*xz(i,1)
   enddo

spi2_weyl()

complex(8) function, dimension(4) modmisc::spi2_weyl	(	complex(8), dimension(:), intent(in)	v,
		complex(8), dimension(:), intent(in)	sp
	)

Definition at line 711 of file mod_Misc.F90.

implicit none
complex(8), intent(in) :: sp(:),v(:)
complex(8) :: spi2_Weyl(4)
complex(8) :: x0(4,4),xx(4,4),xy(4,4)
complex(8) :: xz(4,4),x5(4,4)
complex(8) ::  y1,y2,y3,y4,bp,bm,cp,cm
integer :: i,i1,i2,i3,imax,Dv,Ds
 
   ds = 4
   dv = 4
 
   imax = ds/4
 
   do i=1,imax
      i1= 1+4*(i-1)
      i2=i1+3
 
      y1=sp(i1)
      y2=sp(i1+1)
      y3=sp(i1+2)
      y4=sp(i1+3)
 
      x0(1,i)=y3
      x0(2,i)=y4
      x0(3,i)=y1
      x0(4,i)=y2
 
 
      xx(1,i) = -y4
      xx(2,i) = -y3
      xx(3,i) = y2
      xx(4,i) = y1
 
 
      xy(1,i)=(0d0,1d0)*y4
      xy(2,i)=-(0d0,1d0)*y3
      xy(3,i)=-(0d0,1d0)*y2
      xy(4,i)=(0d0,1d0)*y1
 
      xz(1,i)=-y3
      xz(2,i)=y4
      xz(3,i)=y1
      xz(4,i)=-y2
 
      x5(1,i)=y1
      x5(2,i)=y2
      x5(3,i)=-y3
      x5(4,i)=-y4
   enddo
   do i=1,4
      spi2_weyl(i)=v(1)*x0(i,1)-v(2)*xx(i,1) -v(3)*xy(i,1)-v(4)*xz(i,1)
   enddo

swap_cmom()

subroutine modmisc::swap_cmom	(	complex(8), dimension(1:4)	Mom1,
		complex(8), dimension(1:4)	Mom2
	)

Definition at line 434 of file mod_Misc.F90.

implicit none
complex(8) :: Mom1(1:4),Mom2(1:4),tmp(1:4)
 
    tmp(1:4) = mom2(1:4)
    mom2(1:4) = mom1(1:4)
    mom1(1:4) = tmp(1:4)
 
RETURN

swap_mom()

subroutine modmisc::swap_mom	(	real(8), dimension(1:4)	Mom1,
		real(8), dimension(1:4)	Mom2
	)

Definition at line 423 of file mod_Misc.F90.

implicit none
real(8) :: Mom1(1:4),Mom2(1:4),tmp(1:4)
 
    tmp(1:4) = mom2(1:4)
    mom2(1:4) = mom1(1:4)
    mom1(1:4) = tmp(1:4)
 
RETURN

swapc()

subroutine modmisc::swapc	(	complex(8)	i,
		complex(8)	j
	)

Definition at line 413 of file mod_Misc.F90.

implicit none
complex(8) :: i,j,temp
 
    temp=j
    j=i
    i=temp
 

swapi()

subroutine modmisc::swapi	(	integer	i,
		integer	j
	)

Definition at line 393 of file mod_Misc.F90.

implicit none
integer :: i,j,temp
 
    temp=j
    j=i
    i=temp
 

swapr()

subroutine modmisc::swapr	(	real(8)	i,
		real(8)	j
	)

Definition at line 403 of file mod_Misc.F90.

implicit none
real(8) :: i,j,temp
 
    temp=j
    j=i
    i=temp
 

ubar_spinor()

complex(8) function, dimension(1:4) modmisc::ubar_spinor	(	real(8), dimension(1:4)	p,
		integer	hel
	)

Definition at line 526 of file mod_Misc.F90.

implicit none
real(8) :: p(1:4)
integer :: hel
complex(8) :: ubar_spinor(1:4)
complex(8) :: fc, fc2
 
 
    fc2 = p(1) + p(4)
    fc=sqrt(fc2)
 
    if( abs(fc2).gt.1d-9 ) then
       if(hel.eq.1) then
          ubar_spinor(1)=0d0
          ubar_spinor(2)=0d0
          ubar_spinor(3)=fc
          ubar_spinor(4)=(p(2)-(0d0,1d0)*p(3))/fc
       elseif (hel.eq.-1) then
          ubar_spinor(1)=(p(2)+(0d0,1d0)*p(3))/fc
          ubar_spinor(2)=-fc
          ubar_spinor(3)=0d0
          ubar_spinor(4)=0d0
       endif
    else
       if(hel.eq.1) then
          ubar_spinor(1) = 0d0
          ubar_spinor(2) = 0d0
          ubar_spinor(3) = 0d0
          ubar_spinor(4) = dsqrt(2*p(1))
       elseif (hel.eq.-1) then
          ubar_spinor(1) = dsqrt((2*p(1)))
          ubar_spinor(2) = 0d0
          ubar_spinor(3) = 0d0
          ubar_spinor(4) = 0d0
       endif
    endif
 
RETURN

v_spinor()

complex(8) function, dimension(1:4) modmisc::v_spinor	(	real(8), dimension(1:4)	p,
		integer	hel
	)

Definition at line 567 of file mod_Misc.F90.

implicit none
real(8) :: p(1:4)
integer :: hel
complex(8) :: v_spinor(1:4)
complex(8) :: fc2, fc
 
 
    fc2 = p(1) + p(4)
    fc=sqrt(fc2)
 
    if( abs(fc2).gt.1d-9 ) then
       if(hel.eq.1) then
          v_spinor(1)=0d0
          v_spinor(2)=0d0
          v_spinor(3)=(p(2)-(0d0,1d0)*p(3))/fc
          v_spinor(4)=-fc
       elseif (hel.eq.-1) then
          v_spinor(1)=fc
          v_spinor(2)=(p(2)+(0d0,1d0)*p(3))/fc
          v_spinor(3)=0d0
          v_spinor(4)=0d0
       endif
    else
       if(hel.eq.1) then
          v_spinor(1)=0d0
          v_spinor(2)=0d0
          v_spinor(3)=dsqrt(2*p(1))
          v_spinor(4)=0d0
       elseif (hel.eq.-1) then
          v_spinor(1)=0d0
          v_spinor(2)=dsqrt(2*p(1))
          v_spinor(3)=0d0
          v_spinor(4)=0d0
       endif
    endif
 
RETURN

vbqq_weyl()

complex(8) function, dimension(dv) modmisc::vbqq_weyl	(	complex(8), dimension(:), intent(in)	sp1,
		complex(8), dimension(:), intent(in)	sp2
	)

Definition at line 626 of file mod_Misc.F90.

implicit none
complex(8), intent(in) :: sp1(:), sp2(:)
integer, parameter ::  Dv=4
integer :: i
complex(8) :: vbqq_Weyl(Dv)
complex(8) :: rr, va(Dv),sp1a(4)
 
   va=(0d0,0d0)
   vbqq_weyl=(0d0,0d0)
 
   do i=1,dv
      if (i.eq.1) then
         va(1)=(1d0,0d0)
      else
         va(i)=(-1d0,0d0)
      endif
      sp1a=spb2_weyl(sp1,va)
 
 
      rr=sum(sp1a(1:4)*sp2(1:4))
      if (i.eq.1) then
         vbqq_weyl = vbqq_weyl + rr*va
      else
         vbqq_weyl = vbqq_weyl - rr*va
      endif
      va(i)=(0d0,0d0)
   enddo
 

vectorcross()

real(8) function, dimension(1:3) modmisc::vectorcross	(	real(8), dimension(1:3), intent(in)	p1,
		real(8), dimension(1:3), intent(in)	p2
	)

Definition at line 38 of file mod_Misc.F90.

implicit none
real(8), intent(in) :: p1(1:3),p2(1:3)
real(8)             :: VectorCross(1:3)
 
    vectorcross(1)  = p1(2)*p2(3) - p1(3)*p2(2)
    vectorcross(2)  = p1(3)*p2(1) - p1(1)*p2(3)
    vectorcross(3)  = p1(1)*p2(2) - p1(2)*p2(1)